Abstract

We show that fluctuating proton positions in the colliding nuclei generate, on the event-by-event basis, very strong magnetic and electric fields in the direction both parallel and perpendicular to the reaction plane. The magnitude of E and B fields in each event is of the order of mπ2≈1018 Gauss. Implications on the observation of electric dipole in heavy ion collisions is discussed, and the possibility of measuring the electric conductivity of the hot medium is pointed out.

Highlights

  • The importance of the strong magnetic field created in heavy ion collisions has been recently emphasized in Refs. [1, 2, 3], where the chiral magnetic effect has been proposed and studied

  • The measurable charge separation may be observed in the direction perpendicular to the reaction plane (y axis in Fig. 1) – the dominant direction of the magnetic field averaged over events [1, 4]

  • Since the chiral magnetic effect leads to the electric current along the magnetic field, our result indicate that, in principle, the chiral magnetic effect may take place in the y direction and in the x direction

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Summary

Introduction

The importance of the strong magnetic field created in heavy ion collisions has been recently emphasized in Refs. [1, 2, 3], where the chiral magnetic effect has been proposed and studied. The measurable charge separation may be observed in the direction perpendicular to the reaction plane (y axis in Fig. 1) – the dominant direction of the magnetic field averaged over events [1, 4]. Preprint submitted to Physics Letters B correlations with respect to the reaction plane, which are qualitatively consistent with the chiral magnetic effect expectations; this conclusion, is under intensive debates [1, 4]) the magnetic field perpendicular to the reaction plane in heavy ion collisions is dominant and its magnitude may reach very high values up to dozens of m2π ≈ 1018 Gauss. We calculate the electric field E and show that the x and y components of B and E fields are of the same order of magnitude, at least at the early stage of the collision, when the hot medium response may be neglected.

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